Ricci flow on compact Kähler manifolds of positive bisectional curvature

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We announce a new proof of the uniform estimate on the curvature of solutions to the Ricci flow on a compact Kähler manifold $M^n$ with positive bisectional curvature. In contrast to the recent work of X. Chen and G. Tian, our proof of the uniform estimate does not rely on the exsitence of Kähler-Einstein metrics on $M^n$, but instead on the first author's Harnack inequality for the Kähler-Ricc flow, and a very recent local injectivity radius estimate of Perelman for the Ricci flow.
4 pages

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/66473

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302087
 http://arxiv.org/abs/math/0302087

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arXiv